2. Most cars get their best gas mileage when traveling at relatively modest speed. The gas mileage M for a certain new car is modeled by the function. M(s) = -s2 + (3+ 0 )s + (31 + 0 ) , where s is the speed in mi/h and M is measured in 28 mi/gal а. What is the car's best gas mileage, and at what speed is it attained? Justify your answer? b. Sketch the quadratic function manually showing all steps.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![2. Most cars get their best gas mileage when traveling at relatively modest speed. The
mileage M for a certain new car is modeled by the function.
gas
1
M(s)
s² + (3 + 0 )s + (31 + 0 ) , where s is the speed in mi/h and M is measured in
28
mi/gal
а.
What is the car's best gas mileage, and at what speed is it attained? Justify your
answer?
b. Sketch the quadratic function manually showing all steps.
3.
a. Expand the logarithmic expression.
3
x²(( 0+4) –5x)2.
b. Solve the following equations:
1
i.
22/log5(x-0)
16
ii.
e 4x + 4e2x – 21 = 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8de8b127-6db9-479d-babb-072a985db267%2F0dc4af82-3482-4071-8b2d-bc1c773ada7b%2Fa5inijb_processed.jpeg&w=3840&q=75)
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